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Submission #370044

# Submission time Handle Problem Language Result Execution time Memory
370044 2021-02-23T04:14:33 Z danielcm585 Discharging (NOI20_discharging) C++14
100 / 100
 179 ms 11884 KB 
#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second

typedef long long ll;
typedef pair<int,int> ii;

const int N = 1e6;
const ll INF = 1e18;
int n, m;
int a[N+2], st[N+2];
ll dp[N+2];

struct line {
    ll m, c;

    ll operator ()(ll x) {
        return m*x + c;
    }
};

bool greaterFrac(ll a, ll b, ll c, ll d) {
    // a/b >= c/d;
    if (a/b != c/d) return a/b > c/d;
    return (a%b)*d >= (c%d)*b;
}

bool isBad(line a, line b, line c) {
    // (c1-c2)/(m2-m1) >= (c2-c3)/(m3-m2)
    return greaterFrac(a.c-b.c,b.m-a.m,b.c-c.c,c.m-b.m);
}

struct convexHull {
    int sz;
    deque<line> dq;

    convexHull(): sz(0) {}

    void insert(ll m, ll c) {
        line cur = {m,c};
        while (sz >= 2 && isBad(dq[sz-2],dq[sz-1],cur)) {
            dq.pop_back();
            sz--;
        }
        dq.push_back(cur);
        sz++;
    }

    // ll query(ll x) {
    //     while (sz >= 2 && dq[0](x) >= dq[1](x)) {
    //         dq.pop_front();
    //         sz--;
    //     }
    //     return dq[0](x);
    // }

    ll query(ll x) {
        ll ret = INF;
        for (int l = 0, r = sz-1; l <= r; ) {
            int mid = (l+r)/2;
            ret = min(ret,dq[mid](x));
            if (mid+1 < sz && dq[mid+1](x) < dq[mid](x)) l = mid+1;
            else r = mid-1;
        }
        return ret;
    }

} ch;

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> n;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    reverse(a+1,a+n+1);
    for (int i = 1; i <= n; i++) {
        while (m > 0 && a[st[m]] <= a[i]) m--;
        st[++m] = i;
    }
    for (int i = 1; i <= m; i++) {
        ch.insert(a[st[i]],dp[i-1]);
        dp[i] = ch.query(st[i]);
    }
    cout << dp[m] << '\n';
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 118 ms 8964 KB Output is correct
17 Correct 128 ms 9580 KB Output is correct
18 Correct 113 ms 7660 KB Output is correct
19 Correct 125 ms 9460 KB Output is correct
20 Correct 136 ms 10004 KB Output is correct
21 Correct 131 ms 9580 KB Output is correct
22 Correct 121 ms 9068 KB Output is correct
23 Correct 164 ms 11384 KB Output is correct
24 Correct 132 ms 10476 KB Output is correct
25 Correct 169 ms 10476 KB Output is correct
26 Correct 146 ms 11884 KB Output is correct
27 Correct 111 ms 8300 KB Output is correct
28 Correct 122 ms 9964 KB Output is correct
29 Correct 136 ms 10732 KB Output is correct
30 Correct 157 ms 11636 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 4204 KB Output is correct
2 Correct 121 ms 4204 KB Output is correct
3 Correct 113 ms 4468 KB Output is correct
4 Correct 115 ms 4204 KB Output is correct
5 Correct 114 ms 4424 KB Output is correct
6 Correct 117 ms 4332 KB Output is correct
7 Correct 179 ms 4292 KB Output is correct
8 Correct 115 ms 4204 KB Output is correct
9 Correct 113 ms 4204 KB Output is correct
10 Correct 112 ms 4204 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 512 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 1 ms 364 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 118 ms 8964 KB Output is correct
31 Correct 128 ms 9580 KB Output is correct
32 Correct 113 ms 7660 KB Output is correct
33 Correct 125 ms 9460 KB Output is correct
34 Correct 136 ms 10004 KB Output is correct
35 Correct 131 ms 9580 KB Output is correct
36 Correct 121 ms 9068 KB Output is correct
37 Correct 164 ms 11384 KB Output is correct
38 Correct 132 ms 10476 KB Output is correct
39 Correct 169 ms 10476 KB Output is correct
40 Correct 146 ms 11884 KB Output is correct
41 Correct 111 ms 8300 KB Output is correct
42 Correct 122 ms 9964 KB Output is correct
43 Correct 136 ms 10732 KB Output is correct
44 Correct 157 ms 11636 KB Output is correct
45 Correct 112 ms 4204 KB Output is correct
46 Correct 121 ms 4204 KB Output is correct
47 Correct 113 ms 4468 KB Output is correct
48 Correct 115 ms 4204 KB Output is correct
49 Correct 114 ms 4424 KB Output is correct
50 Correct 117 ms 4332 KB Output is correct
51 Correct 179 ms 4292 KB Output is correct
52 Correct 115 ms 4204 KB Output is correct
53 Correct 113 ms 4204 KB Output is correct
54 Correct 112 ms 4204 KB Output is correct
55 Correct 1 ms 364 KB Output is correct
56 Correct 1 ms 364 KB Output is correct
57 Correct 1 ms 364 KB Output is correct
58 Correct 1 ms 512 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 1 ms 364 KB Output is correct
63 Correct 1 ms 364 KB Output is correct
64 Correct 1 ms 364 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1 ms 364 KB Output is correct
68 Correct 1 ms 364 KB Output is correct
69 Correct 1 ms 364 KB Output is correct
70 Correct 1 ms 364 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 1 ms 364 KB Output is correct
73 Correct 1 ms 364 KB Output is correct
74 Correct 1 ms 364 KB Output is correct
75 Correct 1 ms 364 KB Output is correct
76 Correct 105 ms 4204 KB Output is correct
77 Correct 115 ms 4204 KB Output is correct
78 Correct 104 ms 4332 KB Output is correct
79 Correct 102 ms 4332 KB Output is correct
80 Correct 107 ms 4204 KB Output is correct
81 Correct 100 ms 4224 KB Output is correct
82 Correct 100 ms 4332 KB Output is correct
83 Correct 103 ms 4332 KB Output is correct
84 Correct 104 ms 4204 KB Output is correct
85 Correct 108 ms 4332 KB Output is correct
86 Correct 103 ms 4204 KB Output is correct
87 Correct 98 ms 4204 KB Output is correct
88 Correct 105 ms 4224 KB Output is correct
89 Correct 111 ms 4204 KB Output is correct
90 Correct 110 ms 4204 KB Output is correct
91 Correct 98 ms 4204 KB Output is correct
92 Correct 134 ms 10360 KB Output is correct
93 Correct 128 ms 9708 KB Output is correct
94 Correct 95 ms 4204 KB Output is correct
95 Correct 104 ms 4204 KB Output is correct
96 Correct 97 ms 4204 KB Output is correct
97 Correct 101 ms 4204 KB Output is correct
98 Correct 102 ms 4332 KB Output is correct
99 Correct 99 ms 4332 KB Output is correct
100 Correct 101 ms 4204 KB Output is correct